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There are 3 Japanese MLB players played for the Chicago White Sox
Kosuke
Fukudome
RF 
Chicago Cubs
(Chicago Cubs, Cleveland Indians, Chicago White Sox, Chunichi Dragons, Hanshin Tigers)
福留孝介 (ふくどめ・こうすけ)
Bats: L Throws: R
Current Age 46
6-0, 200lb (183cm, 90kg)
MLB Debut:
2008-03-31 (30)
Tadahito
Iguchi
(Chicago White Sox, Philadelphia Phillies, San Diego Padres, Chiba Lotte Marines, Fukuoka SoftBank Hawks)
井口資仁 (いぐち・ただひと)
Bats: R Throws: R
Current Age 49
5-10, 185lb (178cm, 83kg)
MLB Debut:
2005-04-04 (30)
Shingo
Takatsu
(Chicago White Sox, New York Mets, Tokyo Yakult Swallows)
高津臣吾 (たかつ・しんご)
Bats: R Throws: R
Current Age 55
6-0, 180lb (183cm, 81kg)
MLB Debut:
2004-04-09 (35)